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     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Interactions\n",
      "\n",
      "[Tom Wallis](http://www.tomwallis.info) and [Philipp Berens](http://philippberens.wordpress.com/)\n",
      "\n",
      "The University of T\u00fcbingen"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np\n",
      "import pandas as pd\n",
      "import patsy\n",
      "import seaborn as sns\n",
      "import statsmodels.formula.api as smf\n",
      "import matplotlib.pyplot as plt\n",
      "from mpl_toolkits.mplot3d import Axes3D\n",
      "from matplotlib import cm\n",
      "import itertools\n",
      "\n",
      "\n",
      "%matplotlib inline\n",
      "\n",
      "sns.set_style(\"white\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 24
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Introduction\n",
      "\n",
      "In this lecture we will cover:\n",
      "\n",
      "- interaction effects and what they mean\n",
      "- link functions\n",
      "\n",
      "In next week's lecture we will look at ANOVA and repeated measures designs."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Interactions\n",
      "\n",
      "An *interaction* between two variables is when the effect of one variable depends on (is modified by) another variable. \n",
      "\n",
      "For example, \n",
      "\n",
      "- the relationship beween drug dosage and disease outcome *depends* on weight\n",
      "- the effect of attentional load on reaction time *depends* on whether the observer is depressed or not\n",
      "\n",
      "Interactions are ubiquitous in experimental designs in neuroscience, and sometimes they aren't tested appropriately:\n",
      "\n",
      "-------------------\n",
      "-------------------\n",
      "\n",
      "\n",
      "\n",
      "<img src=\"pics_for_lectures/interactions_article.png\">\n",
      "\n",
      "\n",
      "-------------------\n",
      "-------------------\n",
      "\n",
      "First let's give a simple example of an interaction between two continuous variables."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Interaction example\n",
      "\n",
      "A model with no interaction is a plane in a multidimensional space. Adding an interaction term lets the model prediction bend \u2013 that is, the influence of one variable on the response is no longer constant, but depends on the level of the other variable. \n",
      "\n",
      "We can consider numerous types of interactions that make sense in the real world. The sign of the interaction's coefficient will determine the shape of the bend in the model surface.\n",
      "\n",
      "One example of a strong interaction (from John Kruschke's book, [*Doing Bayesian Data Analysis*](https://sites.google.com/site/doingbayesiandataanalysis/)) occurs for the *lift* (how fast an object rises) of lighter-than-air craft (i.e. balloons). For hot air balloons, lift increases as a function of fire. \n",
      "\n",
      "<img src='pics_for_lectures/hot_air_balloon.jpg'>\n",
      "\n",
      "\n",
      "For hydrogen balloons, lift increases as a function of hydrogen. But if we *combine* fire and hydrogen, we get a massive decrease in lift. \n",
      "\n",
      "<img src='pics_for_lectures/hindenburg.jpg'>\n",
      "\n",
      "\n",
      "That is, the two *interact*. We can visualise this as a curved 3D surface:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "betas = np.array([1, 1, -2.])\n",
      "\n",
      "x = np.linspace(0, 1) # vector for x \n",
      "y = np.linspace(0, 1)  # vector for y\n",
      "X, Y = np.meshgrid(x, y)  # grid of X and Y\n",
      "# the height Z is the sum of the weighted X and Ys (weighted by our betas):\n",
      "Z = X*betas[0] + \\\n",
      "    Y*betas[1] + \\\n",
      "    X*Y*betas[2]\n",
      "\n",
      "# create a matplotlib figure window, add 3D axes\n",
      "# http://matplotlib.org/examples/mplot3d/subplot3d_demo.html\n",
      "fig = plt.figure(figsize=(12, 4))\n",
      "# fig = plt.figure(figsize=plt.figaspect(0.3))\n",
      "\n",
      "\n",
      "# first view:\n",
      "ax = fig.add_subplot(1, 3, 1, projection='3d')\n",
      "ax.plot_surface(X, Y, Z, alpha=1, cmap=cm.coolwarm)\n",
      "ax.view_init(elev=15, azim=20)\n",
      "ax.set_xlabel('Fire')\n",
      "ax.set_xticks([0, .5, 1])\n",
      "ax.set_ylabel('Hydrogen')\n",
      "ax.set_yticks([0, .5, 1])\n",
      "ax.set_zlabel('Lift')\n",
      "ax.set_zticks([])\n",
      "\n",
      "# second view:\n",
      "ax = fig.add_subplot(1, 3, 2, projection='3d')\n",
      "ax.plot_surface(X, Y, Z, alpha=1, cmap=cm.coolwarm)\n",
      "ax.view_init(elev=20, azim=55)\n",
      "ax.set_xlabel('Fire')\n",
      "ax.set_xticks([0, .5, 1])\n",
      "ax.set_ylabel('Hydrogen')\n",
      "ax.set_yticks([0, .5, 1])\n",
      "ax.set_zlabel('Lift')\n",
      "ax.set_zticks([])\n",
      "\n",
      "# third view:\n",
      "ax = fig.add_subplot(1, 3, 3, projection='3d')\n",
      "ax.plot_surface(X, Y, Z, alpha=1, cmap=cm.coolwarm)\n",
      "ax.view_init(elev=10, azim=80)\n",
      "ax.set_xlabel('Fire')\n",
      "ax.set_xticks([0, .5, 1])\n",
      "ax.set_ylabel('Hydrogen')\n",
      "ax.set_yticks([0, .5, 1])\n",
      "ax.set_zlabel('Lift')\n",
      "ax.set_zticks([])\n",
      "\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
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sWK9ts8gVUF7BGsm5hL1BThxGU7smAZs27d5b6Xs2m6Fbh/bV3666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\nxabdOrpfvzrvM9mCbsBqNVWwxuL1361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Ei/Xf4OZrlumA0q06/eBOMdn+r9t26eN1m5Q3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X6T7t17EBYeDgoFJUs64OTkRMOGDXV6wZPMpUv/Y+88o6K6ujD8zDAwdKnSRFERQQWssWA39l6i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\nOKM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j1Go1jEYjLBaLx4Xpgg2NYKVQ7OnUqZPb9ypXroxu3brZvSYQCPjNT7JxRDZYJBIJ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AgEAoGg5OgqIrdq1UqKnHleCL106RIAzZo1y7eqQSewKpVKTExMsLOzK1BENTIyQqPRSP+u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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10c8c2be0>"
       ]
      }
     ],
     "prompt_number": 25
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "While 3D plots can be nifty, usually it's nicer to visualise this in 2D as a coloured plane (equivalent to looking down on the surface above). Seaborn can fit interaction models between two continuous covariates in a single step, and plot:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# make a z vector\n",
      "z = x*betas[0] + \\\n",
      "    y*betas[1] + \\\n",
      "    x*y*betas[2]\n",
      "    \n",
      "# put all the vectors into a new dataframe:\n",
      "df = pd.DataFrame({'fire': x,\n",
      "                   'hydrogen': y,\n",
      "                   'lift': z})\n",
      "\n",
      "# fit regression with interaction, plot:\n",
      "sns.interactplot('fire', 'hydrogen', 'lift', df,\n",
      "                 cmap=\"coolwarm\", filled=True, levels=25);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {
        "png": {
         "height": 273,
         "width": 385
        }
       },
       "output_type": "display_data",
       "png": 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fJag2Eqs+/McZAvrLQpUAglCgQCBpk9kwAFxMEAQeAm4GJgLfBMYDH2t0oJlt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\nAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10c88d8d0>"
       ]
      }
     ],
     "prompt_number": 26
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Interactions in the design matrix: two continuous variables example\n",
      "\n",
      "How are interaction terms implemented in a design matrix? It's very simple: they are the *product* of single-variable design matrix columns. The interaction columns are then weighted by a coefficient, as for any other variable. Let's look at how this works, and what it means."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# import the dataset csv file into a Pandas dataframe object:\n",
      "sleep = pd.read_csv('../Datasets/sleep.txt', sep='\\t') \n",
      "sleep = sleep.dropna(axis=0)  # drop on axis 0 (i.e. rows)\n",
      "\n",
      "# variable creation:\n",
      "sleep['log_BodyWt'] = np.log(sleep['BodyWt'])\n",
      "\n",
      "sleep['danger_cat'] = 'low'  # set as a string, \"low\" for all.\n",
      "sleep.loc[sleep['Danger'] > 3, 'danger_cat'] = 'high'  # set values of 4 and 5 to \"high\"\n",
      "\n",
      "sleep['life_cat'] = pd.qcut(sleep['LifeSpan'], [0, .33, .66, 1])\n",
      "sleep['life_cat'] = sleep['life_cat'].cat.rename_categories(['short', 'med', 'long']) # rename categories\n",
      "sleep['life_cat'] = sleep['life_cat'].astype('object')  # make it an object, rather than a category\n",
      "\n",
      "sleep.info()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "<class 'pandas.core.frame.DataFrame'>\n",
        "Int64Index: 42 entries, 1 to 60\n",
        "Data columns (total 14 columns):\n",
        "Species        42 non-null object\n",
        "BodyWt         42 non-null float64\n",
        "BrainWt        42 non-null float64\n",
        "NonDreaming    42 non-null float64\n",
        "Dreaming       42 non-null float64\n",
        "TotalSleep     42 non-null float64\n",
        "LifeSpan       42 non-null float64\n",
        "Gestation      42 non-null float64\n",
        "Predation      42 non-null int64\n",
        "Exposure       42 non-null int64\n",
        "Danger         42 non-null int64\n",
        "log_BodyWt     42 non-null float64\n",
        "danger_cat     42 non-null object\n",
        "life_cat       42 non-null object\n",
        "dtypes: float64(8), int64(3), object(3)\n",
        "memory usage: 4.9+ KB\n"
       ]
      }
     ],
     "prompt_number": 27
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## An interaction hypothesis for sleep\n",
      "\n",
      "Let's imagine that we want to know if the relationship between bodyweight and total sleep changes depending on the length of the animal's gestation.\n",
      "\n",
      "In patsy formulae, we can include an interaction term using the \"`:`\" character. So `BodyWt:Gestation` is an interaction between those two variables. A shorthand for including both main effects (the variables alone) and their interaction is the \"`*`\" character. So writing `BodyWt * Gestation` in the formula is the same as writing `BodyWt + Gestation + BodyWt:Gestation`.\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "X = patsy.dmatrix('log_BodyWt * Gestation', sleep) \n",
      "X"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 28,
       "text": [
        "DesignMatrix with shape (42, 4)\n",
        "  Intercept  log_BodyWt  Gestation  log_BodyWt:Gestation\n",
        "          1     0.00000       42.0               0.00000\n",
        "          1     7.84267      624.0            4893.82700\n",
        "          1     2.35613      180.0             424.10265\n",
        "          1    -3.77226       35.0            -132.02914\n",
        "          1     5.07517      392.0            1989.46814\n",
        "          1     1.19392       63.0              75.21712\n",
        "          1     3.95432      230.0             909.49266\n",
        "          1    -0.85567      112.0             -95.83460\n",
        "          1     6.14204      281.0            1725.91251\n",
        "          1    -2.59027       42.0            -108.79122\n",
        "          1     1.09861       28.0              30.76114\n",
        "          1    -0.24207       42.0             -10.16701\n",
        "          1    -1.60944      120.0            -193.13255\n",
        "          1     3.31999      148.0             491.35812\n",
        "          1    -2.12026       16.0             -33.92422\n",
        "          1     4.44265      310.0            1377.22189\n",
        "          1    -2.29263       28.0             -64.19377\n",
        "          1     0.03922       68.0               2.66701\n",
        "          1     6.25575      336.0            2101.93201\n",
        "          1    -5.29832       21.5            -113.91382\n",
        "          1    -4.60517       50.0            -230.25851\n",
        "          1     4.12713      267.0            1101.94488\n",
        "          1    -3.77226       19.0             -71.67296\n",
        "          1    -3.03655       30.0             -91.09663\n",
        "          1     0.53063       12.0               6.36754\n",
        "          1     1.25276      120.0             150.33156\n",
        "          1    -0.73397      140.0            -102.75568\n",
        "          1     2.30259      170.0             391.43947\n",
        "          1     0.48243       17.0               8.20124\n",
        "          1     5.25750      115.0             604.61197\n",
        "  [12 rows omitted]\n",
        "  Terms:\n",
        "    'Intercept' (column 0)\n",
        "    'log_BodyWt' (column 1)\n",
        "    'Gestation' (column 2)\n",
        "    'log_BodyWt:Gestation' (column 3)\n",
        "  (to view full data, use np.asarray(this_obj))"
       ]
      }
     ],
     "prompt_number": 28
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "So you can see we get a new column that's the product of the other two. Let's think about what this column means. \n",
      "\n",
      "First, let's look at the relationship between these variables by using a `pairplot` (also called a scatterplot matrix)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# convert to pandas df so seaborn is happy:\n",
      "tmp = pd.DataFrame(X, columns = ['intercept', 'log_bodyweight', 'gestation', 'interaction'] )\n",
      "# plot pairplot:\n",
      "sns.pairplot(tmp, vars=['log_bodyweight', 'gestation', 'interaction']);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {
        "png": {
         "height": 642,
         "width": 660
        }
       },
       "output_type": "display_data",
       "png": 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XSdWUqgIl8CfAWZO47lxgyRTHIkmSpAQNDBbp6u5haGj8uaEh6Frbw8BgsfaBSVKdM79K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\nAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10c860a20>"
       ]
      }
     ],
     "prompt_number": 29
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Incidentally, note how `gestation` is also skewed (and consequently the interaction term, too). This would be a good candidate to log-scale as well, but for simplicity we'll leave it be.\n",
      "\n",
      "The interaction term means that we're adding some value ($\\beta_4 \\times \\mathrm{bodyweight} \\times \\mathrm{gestation}$) into the linear predictor. When both bodyweight and gestation are large, this value is large.\n",
      "\n",
      "What happens when we fit this model?"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fit_2 = smf.glm('TotalSleep ~ log_BodyWt * Gestation', sleep).fit()\n",
      "print(fit_2.summary())"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "                 Generalized Linear Model Regression Results                  \n",
        "==============================================================================\n",
        "Dep. Variable:             TotalSleep   No. Observations:                   42\n",
        "Model:                            GLM   Df Residuals:                       38\n",
        "Model Family:                Gaussian   Df Model:                            3\n",
        "Link Function:               identity   Scale:                   13.3387035372\n",
        "Method:                          IRLS   Log-Likelihood:                -111.90\n",
        "Date:                Tue, 24 Feb 2015   Deviance:                       506.87\n",
        "Time:                        17:11:27   Pearson chi2:                     507.\n",
        "No. Iterations:                     4                                         \n",
        "========================================================================================\n",
        "                           coef    std err          z      P>|z|      [95.0% Conf. Int.]\n",
        "----------------------------------------------------------------------------------------\n",
        "Intercept               13.1770      1.056     12.474      0.000        11.107    15.248\n",
        "log_BodyWt              -0.6223      0.298     -2.086      0.037        -1.207    -0.038\n",
        "Gestation               -0.0196      0.010     -1.873      0.061        -0.040     0.001\n",
        "log_BodyWt:Gestation     0.0013      0.001      0.876      0.381        -0.002     0.004\n",
        "========================================================================================\n"
       ]
      }
     ],
     "prompt_number": 30
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The interaction term is not significant (its confidence interval borders zero), so we could probably exclude it from the model. For demonstration, let's look at the model surface."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x = np.linspace(sleep['log_BodyWt'].min(), sleep['log_BodyWt'].max()) # vector for x (log bodyweight)\n",
      "y = np.linspace(sleep['Gestation'].min(), sleep['Gestation'].max())  # vector for y (gestation)\n",
      "X, Y = np.meshgrid(x, y)  # grid of X and Y\n",
      "# the height Z is the sum of the weighted X and Ys (weighted by our betas):\n",
      "Z = fit_2.params[0] + \\\n",
      "    X*fit_2.params[1] + \\\n",
      "    Y*fit_2.params[2] + \\\n",
      "    X*Y*fit_2.params[3] # note the addition of the interaction term here!\n",
      "\n",
      "# create a matplotlib figure window, add 3D axes\n",
      "# http://matplotlib.org/examples/mplot3d/subplot3d_demo.html\n",
      "fig = plt.figure(figsize=(12, 4))\n",
      "\n",
      "# first view:\n",
      "ax = fig.add_subplot(1, 3, 1, projection='3d')\n",
      "ax.plot_surface(X, Y, Z, cmap=cm.coolwarm)\n",
      "ax.view_init(elev=10, azim=20)\n",
      "ax.set_xlabel('log bodyweight (kg)')\n",
      "ax.set_ylabel('gestation (days)')\n",
      "ax.set_zlabel('Total sleep (hours)')\n",
      "\n",
      "# second view:\n",
      "ax = fig.add_subplot(1, 3, 2, projection='3d')\n",
      "ax.plot_surface(X, Y, Z, cmap=cm.coolwarm)\n",
      "ax.view_init(elev=10, azim=45)\n",
      "ax.set_xlabel('log bodyweight (kg)')\n",
      "ax.set_ylabel('gestation (days)')\n",
      "ax.set_zlabel('Total sleep (hours)')\n",
      "\n",
      "# third view:\n",
      "ax = fig.add_subplot(1, 3, 3, projection='3d')\n",
      "ax.plot_surface(X, Y, Z, cmap=cm.coolwarm)\n",
      "ax.view_init(elev=10, azim=70)\n",
      "ax.set_xlabel('log bodyweight (kg)')\n",
      "ax.set_ylabel('gestation (days)')\n",
      "ax.set_zlabel('Total sleep (hours)')\n",
      "\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {
        "png": {
         "height": 237,
         "width": 684
        }
       },
       "output_type": "display_data",
       "png": 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tyhBH7WMjkUjSw//F1XCbzQZZlnN6Eip6w+YTK02IiHJr/vz5mDNnDgKBAPr3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\nn9YP4cC6NR9h9+7dhr35qTTozcQsRjx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cddVVBVHBSonFOybTu1CprSjVe1wx2LdvHx6b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KozABXwA3NzeqVKlCfHw8cXFxVKxYEQcHB2bPnq1Uak9ZIljDt4QxY/K4Up2rLmxtrNm2aQNf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W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\nUd3EfuRfPsyJ394iKW1irfblDoUygpR2D3B01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QuPPPoc7y1+w6fjQ2V+HSbM34GqIljL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QQZpMxYajkVz962DQoEFccMEFfPjhh4wfP57+/fvz/fffs2PHDkaNGkV2dna9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\nHjii1+tlFa7xfh+HS5cuAY8yTcbaQbt37wZKHK6HhwcajQalUolKpaJHj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+/O46Isu8eP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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10f18d550>"
       ]
      }
     ],
     "prompt_number": 31
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sns.interactplot(\"log_BodyWt\", \"Gestation\", \"TotalSleep\", sleep, \n",
      "                 cmap=\"coolwarm\", filled=True, levels=25);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {
        "png": {
         "height": 273,
         "width": 388
        }
       },
       "output_type": "display_data",
       "png": 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CiYj0RiFBRESkzTQqnCiMiCSXQoKIiIjURb3CiMKHSP0pJIiIiEiixB0+FDpE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NQDFwOvAH8BGnH++N5XvMg8xe+AfXGmIwo9UErNBpYBI4AHgZvDu34HPFSsuFzITcANwGfAjcDH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\n3ykAHQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10de04be0>"
       ]
      }
     ],
     "prompt_number": 32
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Interactions between categorical variables\n",
      "\n",
      "We saw in the last lecture how categorical variables (e.g. gender, religion) can be included into design matrices, using *dummy coding*. How are interaction terms calculated for dummy coded variables?\n",
      "\n",
      "It's exactly the same: the product of the relevant design matrix columns. This allows the effect of one variable to depend on another. Let's look at an example in the context of a $2 \\times 2$ design.\n",
      "\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Paper planes experiment\n",
      "\n",
      "How far does a paper plane fly, depending on its design and the weight of the paper used? \n",
      "\n",
      "<img src='pics_for_lectures/paperplane.jpg'>\n",
      "\n",
      "Some undergraduate statistics students from Australia wanted to find out. So they ran a study in which they threw paper planes down a hallway in a university building. \n",
      "\n",
      "We're going to use this dataset to demonstrate an interaction in a $2 \\times 2$ factorial experiment. Note that for the purposes of this demo, we will ignore some of the variables in the dataset."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# read in the data, rename some values:\n",
      "planes = pd.read_csv('../Datasets/planes.txt', sep='\\t')\n",
      "\n",
      "# column names to lowercase:\n",
      "planes.columns = [c.lower() for c in planes.columns]\n",
      "\n",
      "# turn \"paper\" variable into an object, not int64:\n",
      "planes['paper'] = planes['paper'].astype(object)\n",
      "\n",
      "planes.replace(to_replace={'paper': {1: '80',\n",
      "                                     2: '50'},\n",
      "                           'angle': {1: 'horz',\n",
      "                                     2: '45deg '},\n",
      "                           'plane': {1: 'sleek',\n",
      "                                     2: 'simple'}}, \n",
      "                inplace=True)\n",
      "\n",
      "# rename \"plane\" to \"design\":\n",
      "planes = planes.rename(columns={'plane': 'design'})\n",
      "\n",
      "print(planes)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "    distance paper   angle  design  order\n",
        "0       2160    80    horz   sleek     12\n",
        "1       1511    80    horz   sleek     11\n",
        "2       4596    80    horz  simple      8\n",
        "3       3706    80    horz  simple      6\n",
        "4       3854    80  45deg    sleek      4\n",
        "5       1690    80  45deg    sleek      2\n",
        "6       5088    80  45deg   simple      1\n",
        "7       4255    80  45deg   simple      7\n",
        "8       6520    50    horz   sleek      3\n",
        "9       4091    50    horz   sleek      9\n",
        "10      2130    50    horz  simple     14\n",
        "11      3150    50    horz  simple      5\n",
        "12      6348    50  45deg    sleek     16\n",
        "13      4550    50  45deg    sleek     15\n",
        "14      2730    50  45deg   simple     13\n",
        "15      2585    50  45deg   simple     10\n"
       ]
      }
     ],
     "prompt_number": 33
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fit = smf.glm('distance ~ design * paper', planes).fit()\n",
      "print(fit.summary())"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "                 Generalized Linear Model Regression Results                  \n",
        "==============================================================================\n",
        "Dep. Variable:               distance   No. Observations:                   16\n",
        "Model:                            GLM   Df Residuals:                       12\n",
        "Model Family:                Gaussian   Df Model:                            3\n",
        "Link Function:               identity   Scale:                   796752.416667\n",
        "Method:                          IRLS   Log-Likelihood:                -129.11\n",
        "Date:                Tue, 24 Feb 2015   Deviance:                   9.5610e+06\n",
        "Time:                        17:11:29   Pearson chi2:                 9.56e+06\n",
        "No. Iterations:                     4                                         \n",
        "===============================================================================================\n",
        "                                  coef    std err          z      P>|z|      [95.0% Conf. Int.]\n",
        "-----------------------------------------------------------------------------------------------\n",
        "Intercept                    2648.7500    446.305      5.935      0.000      1774.008  3523.492\n",
        "design[T.sleek]              2728.5000    631.171      4.323      0.000      1491.429  3965.571\n",
        "paper[T.80]                  1762.5000    631.171      2.792      0.005       525.429  2999.571\n",
        "design[T.sleek]:paper[T.80] -4836.0000    892.610     -5.418      0.000     -6585.483 -3086.517\n",
        "===============================================================================================\n"
       ]
      }
     ],
     "prompt_number": 34
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In this model, there are significant effects of plane design and paper weight, and also a significant interaction term. What do these mean? \n",
      "\n",
      "First, let's look at the design matrix."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "X = patsy.dmatrix('~ design * paper', planes)\n",
      "X"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 35,
       "text": [
        "DesignMatrix with shape (16, 4)\n",
        "  Intercept  design[T.sleek]  paper[T.80]  design[T.sleek]:paper[T.80]\n",
        "          1                1            1                            1\n",
        "          1                1            1                            1\n",
        "          1                0            1                            0\n",
        "          1                0            1                            0\n",
        "          1                1            1                            1\n",
        "          1                1            1                            1\n",
        "          1                0            1                            0\n",
        "          1                0            1                            0\n",
        "          1                1            0                            0\n",
        "          1                1            0                            0\n",
        "          1                0            0                            0\n",
        "          1                0            0                            0\n",
        "          1                1            0                            0\n",
        "          1                1            0                            0\n",
        "          1                0            0                            0\n",
        "          1                0            0                            0\n",
        "  Terms:\n",
        "    'Intercept' (column 0)\n",
        "    'design' (column 1)\n",
        "    'paper' (column 2)\n",
        "    'design:paper' (column 3)"
       ]
      }
     ],
     "prompt_number": 35
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We have our intercept column of ones as before. The second and third columns are the \"switches\" for whether the plane is \"sleek\", and whether a paper weight of 80 grams was used.\n",
      "\n",
      "So the intercept $\\beta_1$ weight corresponds to the distance travelled when `design == simple` and `paper == 50`. $\\beta_2$ is the *difference* between the distance travelled for sleek and simple planes, when the paper weight is 50. $\\beta_3$ is the difference in distance travelled between paper of weight 50 and paper of 80 grams, for simple planes. \n",
      "\n",
      "What about the interaction column? We can see that again, this is just the product of the two simple effect columns. When both `design[T.sleek]` and `paper[T.80]` are 1, the interaction is 1. Otherwise, it's zero.\n",
      "\n",
      "Let's think about what this means. \n",
      "\n",
      "If we throw a sleek-designed plane, made of 80 gram paper, then we add the interaction coefficient $\\beta_4$ to the prediction. Otherwise, no coefficient is added.\n",
      "\n",
      "Let's visualise the data and the model predictions, using Seaborn. To do this, we need to merge some data frames together so that we can plot the predictions with the data. The reason for this is that Seaborn plotting commands accept one *and only one* data frame. There are probably other ways to make this plot; I got this way from the [answer to my question here](https://stackoverflow.com/questions/28239359/showing-data-and-model-predictions-in-one-plot-using-seaborn-and-statsmodels)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# make a data frame containing the predictions, using the expand grid function.\n",
      "\n",
      "# define expand grid function:\n",
      "def expand_grid(data_dict):\n",
      "    \"\"\" A port of R's expand.grid function for use with Pandas dataframes.\n",
      "    \n",
      "    from http://pandas.pydata.org/pandas-docs/stable/cookbook.html?highlight=expand%20grid\n",
      "    \n",
      "    \"\"\"\n",
      "    rows = itertools.product(*data_dict.values())\n",
      "    return pd.DataFrame.from_records(rows, columns=data_dict.keys())\n",
      "\n",
      "\n",
      "# build a new matrix with expand grid:\n",
      "preds = expand_grid({'paper': ['80', '50'],\n",
      "                     'design': ['sleek', 'simple']})\n",
      "preds_2 = preds.copy()\n",
      "\n",
      "preds['distance'] = fit.predict(preds)\n",
      "\n",
      "# also fit a model with no interaction for comparison:\n",
      "fit_2 = smf.glm('distance ~ paper + design', planes).fit()\n",
      "preds_2['distance'] = fit_2.predict(preds_2)\n",
      "\n",
      "# to plot model predictions against data, we should merge them together:\n",
      "# see answer (https://stackoverflow.com/questions/28239359/showing-data-and-model-predictions-in-one-plot-using-seaborn-and-statsmodels)\n",
      "merged = pd.concat(dict(data=planes, \n",
      "                        additive=preds_2,\n",
      "                        interaction=preds),\n",
      "                   names=['type']).reset_index()\n",
      "print(merged)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "           type  level_1   angle  design  distance  order paper\n",
        "0      additive        0     NaN   sleek   3512.75    NaN    80\n",
        "1      additive        1     NaN   sleek   4168.25    NaN    50\n",
        "2      additive        2     NaN  simple   3202.25    NaN    80\n",
        "3      additive        3     NaN  simple   3857.75    NaN    50\n",
        "4          data        0    horz   sleek   2160.00     12    80\n",
        "5          data        1    horz   sleek   1511.00     11    80\n",
        "6          data        2    horz  simple   4596.00      8    80\n",
        "7          data        3    horz  simple   3706.00      6    80\n",
        "8          data        4  45deg    sleek   3854.00      4    80\n",
        "9          data        5  45deg    sleek   1690.00      2    80\n",
        "10         data        6  45deg   simple   5088.00      1    80\n",
        "11         data        7  45deg   simple   4255.00      7    80\n",
        "12         data        8    horz   sleek   6520.00      3    50\n",
        "13         data        9    horz   sleek   4091.00      9    50\n",
        "14         data       10    horz  simple   2130.00     14    50\n",
        "15         data       11    horz  simple   3150.00      5    50\n",
        "16         data       12  45deg    sleek   6348.00     16    50\n",
        "17         data       13  45deg    sleek   4550.00     15    50\n",
        "18         data       14  45deg   simple   2730.00     13    50\n",
        "19         data       15  45deg   simple   2585.00     10    50\n",
        "20  interaction        0     NaN   sleek   2303.75    NaN    80\n",
        "21  interaction        1     NaN   sleek   5377.25    NaN    50\n",
        "22  interaction        2     NaN  simple   4411.25    NaN    80\n",
        "23  interaction        3     NaN  simple   2648.75    NaN    50\n"
       ]
      }
     ],
     "prompt_number": 36
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# plot with seaborn:\n",
      "g = sns.factorplot('design', 'distance', 'paper', \n",
      "                   data=merged, \n",
      "                   col='type',\n",
      "                   kind='point',\n",
      "                   size=3.5)\n",
      "g.fig.subplots_adjust(wspace=0.3)\n",
      "sns.despine(offset=10);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {
        "png": {
         "height": 257,
         "width": 808
        }
       },
       "output_type": "display_data",
       "png": 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9sCHwjxhjdk/OG4DPgAtDCF/PPUEI4STgTGA3CjdBW1OyE9aj0i88suPZjGQrjk4kX5B0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7dvSTruzc/f5e1lszmyy3C+deAYe+gqLU04bfwDpz56YXvgJ6RWRPkIOHbCaeP3pH/KHolv5XVe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\nkqQaEyiSJEmSJEmSJEk1/wPoM3DUl62F2QAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1102c3b00>"
       ]
      }
     ],
     "prompt_number": 37
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print(fit_2.summary())"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "                 Generalized Linear Model Regression Results                  \n",
        "==============================================================================\n",
        "Dep. Variable:               distance   No. Observations:                   16\n",
        "Model:                            GLM   Df Residuals:                       13\n",
        "Model Family:                Gaussian   Df Model:                            2\n",
        "Link Function:               identity   Scale:                   2534455.76923\n",
        "Method:                          IRLS   Log-Likelihood:                -139.01\n",
        "Date:                Tue, 24 Feb 2015   Deviance:                   3.2948e+07\n",
        "Time:                        17:11:30   Pearson chi2:                 3.29e+07\n",
        "No. Iterations:                     4                                         \n",
        "===================================================================================\n",
        "                      coef    std err          z      P>|z|      [95.0% Conf. Int.]\n",
        "-----------------------------------------------------------------------------------\n",
        "Intercept        3857.7500    689.355      5.596      0.000      2506.639  5208.861\n",
        "paper[T.80]      -655.5000    795.999     -0.823      0.410     -2215.629   904.629\n",
        "design[T.sleek]   310.5000    795.999      0.390      0.696     -1249.629  1870.629\n",
        "===================================================================================\n"
       ]
      }
     ],
     "prompt_number": 38
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The three panels above show the data (with bootstrapped 95% confidence intervals around the means), the predictions of the additive model and the predictions of the interaction model.\n",
      "\n",
      "By comparing the above plots (predictions with and without an interaction), it becomes clear that the effect of paper depends strongly on the plane design. That is, the relationship between design and distance depends on the paper weight.\n",
      "\n",
      "This is also a good example of when it's not very meaningful to talk about a significant main effect if an interaction involving that factor is significant.\n",
      "\n",
      "For example, in the interaction model, there is a signficant simple effect of design such that the sleek design travels further on average than the simple design (for a paper weight of 50). However, the interaction means that the sleek design with heavy paper actually travels a shorter distance than the simple design (whether the simple plane is made of heavy or light paper). So writing something like \"the sleek design travels further than the simple design, since we had a significant effect of design\" is misleading."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Interaction between categorical and continuous variables\n",
      "\n",
      "What happens when we include an interaction term between a categorical and a continuous variable? In the design matrix, it's exactly the same operation: we take the products of the relevant columns.\n",
      "\n",
      "To demonstrate what this means, let's return to the sleep dataset, and consider an interaction between bodyweight and our categorical danger variable."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "X = patsy.dmatrix('~ log_BodyWt * danger_cat', sleep)\n",
      "X"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 39,
       "text": [
        "DesignMatrix with shape (42, 4)\n",
        "  Intercept  danger_cat[T.low]  log_BodyWt  log_BodyWt:danger_cat[T.low]\n",
        "          1                  1     0.00000                       0.00000\n",
        "          1                  0     7.84267                       0.00000\n",
        "          1                  0     2.35613                       0.00000\n",
        "          1                  1    -3.77226                      -3.77226\n",
        "          1                  0     5.07517                       0.00000\n",
        "          1                  1     1.19392                       1.19392\n",
        "          1                  1     3.95432                       3.95432\n",
        "          1                  0    -0.85567                      -0.00000\n",
        "          1                  0     6.14204                       0.00000\n",
        "          1                  1    -2.59027                      -2.59027\n",
        "          1                  1     1.09861                       1.09861\n",
        "          1                  1    -0.24207                      -0.24207\n",
        "          1                  1    -1.60944                      -1.60944\n",
        "          1                  0     3.31999                       0.00000\n",
        "          1                  1    -2.12026                      -2.12026\n",
        "          1                  1     4.44265                       4.44265\n",
        "          1                  1    -2.29263                      -2.29263\n",
        "          1                  0     0.03922                       0.00000\n",
        "          1                  0     6.25575                       0.00000\n",
        "          1                  0    -5.29832                      -0.00000\n",
        "          1                  1    -4.60517                      -4.60517\n",
        "          1                  1     4.12713                       4.12713\n",
        "          1                  1    -3.77226                      -3.77226\n",
        "          1                  1    -3.03655                      -3.03655\n",
        "          1                  1     0.53063                       0.53063\n",
        "          1                  1     1.25276                       1.25276\n",
        "          1                  1    -0.73397                      -0.73397\n",
        "          1                  0     2.30259                       0.00000\n",
        "          1                  1     0.48243                       0.48243\n",
        "          1                  0     5.25750                       0.00000\n",
        "  [12 rows omitted]\n",
        "  Terms:\n",
        "    'Intercept' (column 0)\n",
        "    'danger_cat' (column 1)\n",
        "    'log_BodyWt' (column 2)\n",
        "    'log_BodyWt:danger_cat' (column 3)\n",
        "  (to view full data, use np.asarray(this_obj))"
       ]
      }
     ],
     "prompt_number": 39
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "This model can be written as:\n",
      "\n",
      "$\\hat y = \\beta_1 + \\beta_2 \\mathrm{danger} + \\beta_3 \\mathrm{bodyweight} + \\beta_4 \\mathrm{interaction}$\n",
      "\n",
      "So when `danger` is \"high\", our model reduces to the intercept plus the log_BodyWeight:\n",
      "\n",
      "$\\hat y = \\beta_1 + \\beta_3 \\mathrm{bodyweight}$\n",
      "\n",
      "Whereas when `danger` is \"low\", we \n",
      "\n",
      "- add $\\beta_2$ to the predictions, irrespective of bodyweight (i.e. a change in intercept)\n",
      "- change the slope of bodyweight by $\\beta_4$\n",
      "\n",
      "So what our interaction term effectively does is allows the `danger = low` condition to have a different intercept *and* a different slope than the `danger = high` condition. \n",
      "\n",
      "What happens when we fit this model?"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fit_2 = smf.glm('TotalSleep ~ log_BodyWt * danger_cat', sleep).fit()  # interaction model\n",
      "print(fit_2.summary())"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "                 Generalized Linear Model Regression Results                  \n",
        "==============================================================================\n",
        "Dep. Variable:             TotalSleep   No. Observations:                   42\n",
        "Model:                            GLM   Df Residuals:                       38\n",
        "Model Family:                Gaussian   Df Model:                            3\n",
        "Link Function:               identity   Scale:                   13.1208381942\n",
        "Method:                          IRLS   Log-Likelihood:                -111.55\n",
        "Date:                Tue, 24 Feb 2015   Deviance:                       498.59\n",
        "Time:                        17:11:30   Pearson chi2:                     499.\n",
        "No. Iterations:                     4                                         \n",
        "================================================================================================\n",
        "                                   coef    std err          z      P>|z|      [95.0% Conf. Int.]\n",
        "------------------------------------------------------------------------------------------------\n",
        "Intercept                        8.9987      1.262      7.132      0.000         6.526    11.472\n",
        "danger_cat[T.low]                3.1610      1.436      2.201      0.028         0.346     5.976\n",
        "log_BodyWt                      -0.6155      0.292     -2.108      0.035        -1.188    -0.043\n",
        "log_BodyWt:danger_cat[T.low]    -0.2637      0.415     -0.636      0.525        -1.077     0.549\n",
        "================================================================================================\n"
       ]
      }
     ],
     "prompt_number": 40
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We can see that the z-test for the coefficient of interaction term in the table is not significant. This means that from these data, we can't conclude that the relationship between bodyweight and sleep depends on danger. That is, the slopes of the line for the low and high danger groups do not significantly differ."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Plot the two models against each other. \n",
      "\n",
      "# we do this slightly differently to the categorical examples above, \n",
      "# due to the need for some data re-arranging to plot the data as points\n",
      "# and the model predictions as lines.\n",
      "\n",
      "preds = expand_grid(\n",
      "                {'log_BodyWt': np.linspace(-6, 9, 2),\n",
      "                 'life_cat': ['short', 'med', 'long'],\n",
      "                 'danger_cat': ['low', 'high']})\n",
      "\n",
      "fit = smf.glm('TotalSleep ~ log_BodyWt + danger_cat', sleep).fit()  # additive model\n",
      "fit_2 = smf.glm('TotalSleep ~ log_BodyWt * danger_cat', sleep).fit()  # interaction model\n",
      "\n",
      "# add model predictions to data frames:\n",
      "preds['yhat'] = fit.predict(preds)\n",
      "preds['yhat_2'] = fit_2.predict(preds)\n",
      "\n",
      "merged = sleep.append(preds)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 41
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Plot additive model: \n",
      "g = sns.FacetGrid(merged, hue='danger_cat', size=4)\n",
      "# use the `map` method to add stuff to the facetgrid axes:\n",
      "g.map(plt.scatter, \"log_BodyWt\", \"TotalSleep\")\n",
      "g.map(plt.plot, \"log_BodyWt\", \"yhat\")\n",
      "sns.despine(offset=10)\n",
      "g.set_axis_labels('Bodyweight [log kg]', 'Sleep [hours]')\n",
      "g.add_legend(title='Danger')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {
        "png": {
         "height": 292,
         "width": 343
        }
       },
       "output_type": "display_data",
       "png": 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RETkvCq4RSMG1khRcnZNfWMCCTV/y4Zpp5Bw/GNB+Yf1m3NRlNN0v6ILHo+9DIiJSIfoL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\nA/TDL+S13bpRAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x110254080>"
       ]
      }
     ],
     "prompt_number": 42
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# plot interaction model:\n",
      "\n",
      "g = sns.FacetGrid(merged, hue='danger_cat', size=4)\n",
      "# use the `map` method to add stuff to the facetgrid axes:\n",
      "g.map(plt.scatter, \"log_BodyWt\", \"TotalSleep\")\n",
      "g.map(plt.plot, \"log_BodyWt\", \"yhat_2\")\n",
      "sns.despine(offset=10)\n",
      "g.set_axis_labels('Bodyweight [log kg]', 'Sleep [hours]')\n",
      "g.add_legend(title='Danger')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {
        "png": {
         "height": 292,
         "width": 343
        }
       },
       "output_type": "display_data",
       "png": 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BHrSgSkTES1wdcTXGDAN+B/QFavgupwPzgb9ba2e69rAg04irVDZH0tN4aO4L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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10f12f278>"
       ]
      }
     ],
     "prompt_number": 43
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Conclusion\n",
      "\n",
      "Interactions let you model how the value of one variable changes the relationship between other variables. That is, we ask \"does the relationship between X and Y *depend on* Z\"?\n",
      "\n",
      "In terms of the design matrix, interaction terms are simply the products of the relative columns."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.core.display import HTML\n",
      "\n",
      "\n",
      "def css_styling():\n",
      "    styles = open(\"../custom_style.css\", \"r\").read()\n",
      "    return HTML(styles)\n",
      "css_styling()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<style>\n",
        "    @font-face {\n",
        "        font-family: \"Computer Modern\";\n",
        "        src: url('http://9dbb143991406a7c655e-aa5fcb0a5a4ec34cff238a2d56ca4144.r56.cf5.rackcdn.com/cmunss.otf');\n",
        "    }\n",
        "    @font-face {\n",
        "        font-family: \"Computer Modern\";\n",
        "        font-weight: bold;\n",
        "        src: url('http://9dbb143991406a7c655e-aa5fcb0a5a4ec34cff238a2d56ca4144.r56.cf5.rackcdn.com/cmunsx.otf');\n",
        "    }\n",
        "    @font-face {\n",
        "        font-family: \"Computer Modern\";\n",
        "        font-style: oblique;\n",
        "        src: url('http://9dbb143991406a7c655e-aa5fcb0a5a4ec34cff238a2d56ca4144.r56.cf5.rackcdn.com/cmunsi.otf');\n",
        "    }\n",
        "    @font-face {\n",
        "        font-family: \"Computer Modern\";\n",
        "        font-weight: bold;\n",
        "        font-style: oblique;\n",
        "        src: url('http://9dbb143991406a7c655e-aa5fcb0a5a4ec34cff238a2d56ca4144.r56.cf5.rackcdn.com/cmunso.otf');\n",
        "    }\n",
        "    div.cell{\n",
        "        width:850px;\n",
        "        font-size: 11pt;\n",
        "        margin-left:16% !important;\n",
        "        margin-right:auto;\n",
        "    }\n",
        "    h1 {\n",
        "        font-family: Minion Pro, serif;\n",
        "    }\n",
        "    h2 {\n",
        "        font-family: Minion Pro, serif;\n",
        "    }\n",
        "    h3 {\n",
        "        font-family: Minion Pro, serif;\n",
        "    }\n",
        "    h4{\n",
        "        margin-top:12px;\n",
        "        margin-bottom: 3px;\n",
        "       }\n",
        "    div.text_cell_render{\n",
        "        font-family: Optima, sans-serif;\n",
        "        line-height: 145%;\n",
        "        font-size: 12pt;\n",
        "        width:850px;\n",
        "        margin-left:auto;\n",
        "        margin-right:auto;\n",
        "    }\n",
        "    .CodeMirror{\n",
        "            font-family: \"Source Code Pro\", source-code-pro,Consolas, monospace;\n",
        "    }\n",
        "    .prompt{\n",
        "        display: None;\n",
        "    }\n",
        "    .text_cell_render h5 {\n",
        "        font-weight: 300;\n",
        "        font-size: 12pt;\n",
        "        color: #4057A1;\n",
        "        font-style: italic;\n",
        "        margin-bottom: .5em;\n",
        "        margin-top: 0.5em;\n",
        "        display: block;\n",
        "    }\n",
        "\n",
        "    .warning{\n",
        "        color: rgb( 240, 20, 20 )\n",
        "        }\n",
        "</style>\n",
        "<script>\n",
        "    MathJax.Hub.Config({\n",
        "                        TeX: {\n",
        "                           extensions: [\"AMSmath.js\"]\n",
        "                           },\n",
        "                tex2jax: {\n",
        "                    inlineMath: [ ['$','$'], [\"\\\\(\",\"\\\\)\"] ],\n",
        "                    displayMath: [ ['$$','$$'], [\"\\\\[\",\"\\\\]\"] ]\n",
        "                },\n",
        "                displayAlign: 'center', // Change this to 'center' to center equations.\n",
        "                \"HTML-CSS\": {\n",
        "                    styles: {'.MathJax_Display': {\"margin\": 4}}\n",
        "                }\n",
        "        });\n",
        "</script>"
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       "output_type": "pyout",
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